Solve the equation uxx uyy uzz +k2u =0 in theexterior {x2
Chapter 10, Problem 17(choose chapter or problem)
Solve the equation uxx uyy uzz +k2u =0 in theexterior {x2 + y2 +z2 > a2}of the ball with u 1 on the boundary sphere and u(x, y, z) bounded at innity. Write your answer in terms of elementary functions.
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